Finding the Third Proportional to 150,573 and 200,739.38

Step by Step Solution

1. Step 1: Write the proportion equation
   150,573 : 200,739.38 = 200,739.38 : x
2. Step 2: Convert to fraction form
   150,573/200,739.38 = 200,739.38/x
3. Step 3: Cross multiply
   150,573x = 200,739.38 × 200,739.38
4. Step 4: Simplify right side
   150,573x = 40,296,296,675.39
5. Step 5: Solve for x
   x = 40,296,296,675.39/150,573
6. Step 6: Final answer
   x = 267,619.67